Question

PLEASE HELP, CURRENTLY STUCK ON THIS QUESTION !

Find the general term for the sequence -3, 1, 5, 9, ....

Answer 1

`\bf -3~~,~~\stackrel{-3+4}{1}~~,~~\stackrel{1+4}{5}~~,~~\stackrel{5+4}{9}...~\hspace{5em}\stackrel{\textit{common difference}}{d = 4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{general term}~\hfill }{n^(th)\textit{ term of an arithmetic sequence}} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=-3\\ d=4 \end{cases} \\\\\\ a_n=-3+(n-1)4\implies a_n=-3+4n-4\implies a_n=4n-7`